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Finding the Fourth Proportional to 407,924.80, 611,887.20 and 362,435.20

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Solution

The fourth proportional to 407,924.80, 611,887.20 and 362,435.20 is: 543,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,924.80 : 611,887.20 = 362,435.20 : x
  2. Step 2: Convert to fraction form
    407,924.80/611,887.20 = 362,435.20/x
  3. Step 3: Cross multiply
    407,924.80x = 611,887.20 × 362,435.20
  4. Step 4: Simplify right side
    407,924.80x = 221,769,459,709.44
  5. Step 5: Solve for x
    x = 221,769,459,709.44/407,924.80
  6. Step 6: Final answer
    x = 543,652.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.